The negative sign in the velocity simply indicate direction, nothing else. From the conservation of momentum, we have the equation:
m1 v1 + m2 v2 = (m1 + m2) v’
123 kg (10 m/s) + m2 (-22 m/s) = (123 kg + m2) (-3.6 m/s)
1230 – 22 m2 = -442.8 – 3.6 m2
18.4 m2 = 1672.8
m2 = 90.91 kg
A bucket of water can be whirled in a vertical circle without the water spilling out, even at the top of the circle when the bucket is upside down. explain.
Final answer:
A bucket of water stays contained when whirled in a vertical circle due to the centripetal force, which must exceed gravity's pull. Fluid dynamics, explained by Bernoulli's Equation, also dictates that water will squirt further from a hose when the opening is partially covered, water streams widen when shot upwards from a fountain, and narrow when falling downward from a faucet.
Explanation:
A bucket of water can be whirled in a vertical circle without the water spilling out because of the phenomenon known as centripetal force. At the top of the circle, even though the bucket is upside down, the water stays in the bucket due to the inward force that is directed towards the center of the circle. This force keeps the water pressed against the bottom of the bucket. The key factor here is maintaining a speed that is high enough so that the centripetal force exceeds the force of gravity acting on the water. If the speed is too slow, gravity will overcome this force and the water will spill out.
Bernoulli's Equation can help further understand similar phenomena involving fluid dynamics. For instance, covering the end of a garden hose with a thumb causes the water to squirt out at a greater distance due to the increased water velocity as a result of the reduced cross-sectional area. Similarly, when water is shot nearly vertically upward in a decorative fountain, it broadens as it rises due to decreased velocity and increased pressure. Conversely, a stream of water falling straight down narrows due to the increase in velocity and decrease in pressure as it falls.
The water does not spill out of the bucket when it is whirled in a vertical circle, including at the top of the circle when the bucket is upside down, due to the centripetal force that keeps the water adhered to the bottom of the bucket.
When a bucket of water is whirled in a vertical circle, several forces come into play. The key force that prevents the water from spilling out is the centripetal force. This force is directed towards the center of the circular path that the bucket follows.
At the top of the circle, when the bucket is upside down, gravity is acting in the opposite direction to the centripetal force. However, if the bucket is whirled fast enough, the centripetal acceleration \( a_c \) required to keep the water moving in a circle can exceed the acceleration due to gravity \( g \). This can be expressed by the equation:
[tex]\[ a_c = \frac{v^2}{r} \][/tex]
For the water to remain in the bucket at the top of the circle, the following condition must be met:
[tex]\[ \frac{v^2}{r} \geq g \][/tex]
This means that the centripetal acceleration must be greater than or equal to the acceleration due to gravity for the water to stay in the bucket. When this condition is satisfied, the water is pressed against the bottom of the bucket (which is now above it) with a force that is equal to or greater than the force of gravity pulling down on the water.
Additionally, the surface tension of the water and the adhesive forces between the water and the bucket can also help to keep the water from spilling out. These forces create a sort of film that can hold the water together and to the bucket, especially if the bucket is whirled quickly enough.
Therefore, as long as the bucket is whirled with sufficient speed to generate a centripetal force that counteracts gravity, the water will not spill out, even when the bucket is upside down at the top of the vertical circle."
Scientists should not repeat experiments to see if their data is reproducible.
True or False?
Two current processes that can be used to ensure that there is enough clean water
Which substance will form a solution when mixed with solid sodium chloride
Answer:
Answered
Explanation:
Water when mixed with Sodium chloride also called common salt to form a solution called Brine. Brine high concentration solution of Nacl( sodium chloride or salt and water). It is used as preservatives. It is also used as a refrigerating fluid and it is also used for deicing in lower temperatures.
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If you are driving 100 km/h along a straight road and you look to the side for 1.8 s , how far do you travel during this inattentive period?
A wood block, after being given a starting push, slides down a ramp at a constant speed. what is the angle of the ramp above horizontal? suppose that μk = 0.2.
What is the acceleration of a car that moves at a steady velocity of 100km/h for 100s?
Answer:
the answer is 0
Explanation:
The acceleration of a car that maintains a constant velocity of 100 km/h for 100s is zero. Acceleration is a change in velocity. Thus, if velocity is constant, that means there is no change and velocity stays the same.
Gravity is pulling an object into the sun. The closer the object gets to the sun, the greater the gravitational force that acts on the object, increasing its acceleration. A line graph plotting the speed of the object against time would have which shape?
straight line of negative slope
curved line that slopes downward
curved line that slopes upward
straight line of positive slope
The line graph of speed versus time for an object pulled into the sun would be a curved line that slopes upward, indicating continuously increasing speed due to increasing gravitational force.
When an object is pulled into the sun by gravity, the gravitational force increases as it gets closer to the sun. This results in the object accelerating more as it approaches. Therefore, a line graph plotting the speed of the object against time would display a curved line that slopes upward. This curve represents the object's continuously increasing speed over time due to the increasing gravitational pull.
a woman driving at a speed of 23 m/s sees a deer on the road ahead and applies the brakes when she is 210 m from the deer. If the deer does not move and the car stops right before it hits the deer, what is the acceleration provided by the car's brakes?
The acceleration provided by the car's brakes is -1.259 [tex]m/s^2[/tex].
Given the following data:
Initial speed = 23 m/s.Distance = 210 meters.Final speed = 0 m/s (since the car comes to a stop).To find the acceleration provided by the car's brakes, we would use the third equation of motion:
[tex]V^2 = U^2 + 2aS[/tex]
Where:
V represents the final speed.U is the initial speed.a represents the acceleration.S is the distance covered.Substituting the parameters into the formula, we have;
[tex]0^2 = 23^2 + 2a(210)\\\\-529 = 420a\\\\a = \frac{-529}{420}[/tex]
Acceleration, a = -1.259 [tex]m/s^2[/tex]
Therefore, the acceleration provided by the car's brakes is -1.259 [tex]m/s^2[/tex].
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When rolled down a mountainside at 7.0 m/s, the horizontal component of its velocity vector was 1.8 m/s. what was the angle of the mountain surface above the horizontal? 75° 33° 57 ° 15°?
Given V = 7 m/s; Vx = 1.8 m/s.
Drawing a triangle, V becomes the hypotenuse and Vx becomes the adjacent side. From that image we derive the formula from the properties of a right triangle. We get cos x = Vx / V where x is the angle we are looking for. Substituting the given values to the formula, we get cos x = 1.8 m/s / 7 m/s = 0.257. x = cos^-1 (0.257) = 75 degrees
The angle of the mountain surface above the horizontal is approximately 75°. Thus, the correct answer is 1). 75°.
When an object moves on an inclined surface with a certain velocity, we resolve that velocity into horizontal and vertical components.
Given:
Total velocity (v) = 7.0 m/sHorizontal component of velocity (Vₓ) = 1.8 m/sWe can determine the angle (Ф ) using the cosine function in trigonometry:
cos(Ф) = horizontal component / total velocity
Substituting the values:
cos(Ф) = 1.8 / 7.0
cos(Ф) = 0.2571
Taking the inverse cosine (cos⁻¹) of 0.2571:
Ф = cos⁻¹(0.2571) ≈ 75°
Therefore, the angle of the mountain surface above the horizontal is 1.)75°.
complete question:
When rolled down a mountainside at 7.0 m/s, the horizontal component of its velocity vector was 1.8 m/s. what was the angle of the mountain surface above the horizontal?
75° 33° 57 ° 15°An audi travels at 88 km/hr over a distance of 22 km. calculate.25 the time taken for the audi to travel this distance.
Final answer:
The time taken for an Audi to travel 22 km at a speed of 88 km/hr is 0.25 hours or 15 minutes.
Explanation:
To calculate the time taken for an Audi to travel a distance of 22 km at a speed of 88 km/hr, we use the formula:
Time = Distance / Speed
Plugging in the values, we have:
Time = 22 km / 88 km/hr
Time = 0.25 hours
Therefore, the Audi takes 0.25 hours to travel 22 kilometers. To get the time in minutes, we can multiply the hours by 60:
Time in minutes = 0.25 hours × 60 minutes/hour
Time in minutes = 15 minutes
The Audi will take 15 minutes to cover the 22 km distance at a speed of 88 km/hr.
Gina estimates that her moms truck weighs about 6,000 pounds. How can you write 6,000 using exponents?
Answer:
[tex]6\times 10^{3} Pounds[/tex]
Explanation:
Given that the Gina moms truck weight is 6000 pounds.
And we also know that the 6000 pounds can be written as in the form.
[tex]6000=6\times 10\times 10\times 10[/tex]
Further more it can be written as,
[tex]6000Pounds=6\times 10^{3} Pounds[/tex]
Therefore the weight of the truck which is 6000 Pounds can be written in exponential form as [tex]6\times 10^{3} Pounds[/tex].
A 50.0-kg block is being pulled up a 15.0° slope by a force of 250 n which is parallel to the slope. the coefficient of kinetic friction between the block and the slope is 0.200. what is the magnitude of the acceleration of the block?
The magnitude of the block's acceleration is determined as 0.57 m/s².
How to calculate the magnitude of the block's acceleration?
The magnitude of the block's acceleration is calculated by applying the following formula as shown below;
F(net) = ma
where;
F(net) is the net horizontal force of the blockm is the mass of the blockF(applied) - F(parallel component of weight) - F(friction) = ma
F - mg sinθ - μmg cosθ = ma
where;
g is acceleration due to gravityμ is coefficient of frictionθ is inclination of the planeThe magnitude of the block's acceleration is calculated as;
250 - (50 x 9.8 x sin 15) - (0.2 x 50 x 9.8 x cos 15) = 50a
28.52 = 50a
a = 28.52 / 50
a = 0.57 m/s²
What is the weight of a human eye ball
Which quantity causes a change in linear momentum?
The electrostatic force of attraction between two charges, a and b, is proportional to
The electrostatic force of attraction between two charges, a and b, is proportional to the product of their magnitudes.
What is Coulomb's law?The force of attraction between two point charges is given by Coulomb's law:
F = k |q₁ × q₂| / r²
where k is the Coulomb constant, q1 and q2 are the magnitudes of the charges, and r is the distance between the charges.
The force of attraction or repulsion between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.
This relationship is known as Coulomb's law.
Thus, they proportional to the product of their magnitudes.
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A ball is thrown vertically upward with a speed v. an identical second ball is thrown upward with a speed 2v. how many times higher does the second ball go than the first one?
The second ball, thrown upward with speed 2v, will go 4 times higher than the first ball thrown with speed v.
When a ball is thrown vertically upward with a speed v, the height to which it rises can be calculated by using the kinematic equation for uniformly accelerated motion, assuming acceleration due to gravity g is the only force acting on it. The equation is h = [tex]v^2[/tex] / (2g), where h is the maximum height, v is the initial velocity, and g is the acceleration due to gravity (approximately 9.81 m/s2 on Earth). If the second ball is thrown upward with a velocity 2v, the maximum height it reaches is h' = [tex](2v)^2[/tex] / (2g), which simplifies to h' = [tex]4v^2[/tex] / (2g). Thus, the second ball goes 4 times higher than the first because h' / h = 4. This is because height reached is directly proportional to the square of the initial velocity.
What happens to the density of a substance as its temperature increases?
If it takes 150 n of force to move a box 10 meters, what is the work done on the box?
Answer:
1,500
Explanation:
If it takes 150 Newtons of force to move a box 10 meters, then the work done on the box would be 1500 Joules .
What is work done ?The total amount of energy transferred when a force is applied to move an object through some distance .
The work done is the multiplication of applied force with displacement.
Work Done = Force × Displacement
As given in the problem If it takes 150 n of force to move a box 10 meters , then we have to find out what is work done on the box ,
The work done = 150 × 10
= 1500 Joules
Thus , If it takes 150 Newtons of force to move a box 10 meters, then the work done on the box would be 1500 Joules .
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A satellite orbiting the moon very near the surface has a period of 110 min. use this information, together with the radius of the moon r=1.74×106m, to calculate the free-fall acceleration on the moon's surface.
The free-fall acceleration on the moon's surface is about 1.58 m/s²
[tex]\texttt{ }[/tex]
Further explanationNewton's gravitational law states that the force of attraction between two objects can be formulated as follows:
[tex]\large {\boxed {F = G \frac{m_1 ~ m_2}{R^2}} }[/tex]
F = Gravitational Force ( Newton )
G = Gravitational Constant ( 6.67 × 10⁻¹¹ Nm² / kg² )
m = Object's Mass ( kg )
R = Distance Between Objects ( m )
Let us now tackle the problem !
[tex]\texttt{ }[/tex]
Given:
Period of Satellite = T = 110 min = 6600 s
Radius of Moon = R = 1.74 × 10⁶ m
Asked:
free-fall acceleration on the moon's surface = g = ?
Solution:
[tex]\Sigma F = ma[/tex]
[tex]G \frac{ M m} { R^2 } = m \omega^2 R[/tex]
[tex]G \frac { M } { R^2 } = \omega^2 R[/tex]
[tex]g = \omega^2 R[/tex]
[tex]g = (\frac{2 \pi }{ T} )^2 R[/tex]
[tex]g = ( \frac {2\pi} { 6600 } )^2 \times ( 1.74 \times 10^6 )[/tex]
[tex]g \approx 1.58 \texttt{ m/s}^2[/tex]
[tex]\texttt{ }[/tex]
Learn moreImpacts of Gravity : https://brainly.com/question/5330244Effect of Earth’s Gravity on Objects : https://brainly.com/question/8844454The Acceleration Due To Gravity : https://brainly.com/question/4189441[tex]\texttt{ }[/tex]
Answer detailsGrade: High School
Subject: Physics
Chapter: Gravitational Fields
Why can't you you use a pump to lift water to the third floor?
Because there are fewer air molecules pushing back as the pump removes air from the well, the pressure outside the well has a greater impact. The amount of water that could be pushed up the pipe by the pressure being applied to it would be insufficient.
What is pump?A mechanical device called a pump is used to move various fluids from one place to another. It is a hydraulic device that transfers fluids from low to high pressure and from low to high levels of elevation.
The pump moves fluid by transforming the mechanical energy of the fluid into pressure energy (hydraulic energy).
Processes requiring high hydraulic pressure can also use the hydraulic pump. With the aid of large machinery, it may be seen. In general, heavy machinery requires high discharge pressures and low suction pressures.
Therefore,Because there are fewer air molecules pushing back as the pump removes air from the well, the pressure outside the well has a greater impact. The amount of water that could be pushed up the pipe by the pressure being applied to it would be insufficient.
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Which early president passed the unpopular Alien & Sedition acts, which restricted people speaking out against the government and allowed him to deport foreigners? A) President John Adams B) President James Madison C) President Thomas Jefferson D) President George Washington
The answer is A. President John Adams
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A ball rolled along a horizontal surface maintains a constant speed because
The variety of species in an ecosystem is known as ____
The variety of species in an ecosystem is known as biodiversity.
What is an ecosystem?All of the species that interact with one another, as well as the physical habitat in which they live, make up an ecosystem.
What is biodiversity?Biodiversity, or biological diversity, refers to the variety and variability of life present on earth. It is a measure of genetic, species, and ecosystem variation on earth.
What is the significance of biodiversity?Biodiversity is essential for the maintenance of ecological balance. It also contributes to high productivity.What is biodiversity conservation?Biodiversity conservation refers to the preservation and management of biodiversity in order to gain resources for long-term development.
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A fully charged capacitor with a voltage of 120 v is discharged through a resistor. (a) what is the voltage across the capacitor at the end of three time constants?
The value of the voltage across the capacitor at the end of three time constants is 5.97 V.
What is electric potential energy of a capacitor?The electric potential energy of a capacitor is the energy stored by it.
It is given that the fully charged capacitor with a voltage of 120 v is discharged through a resistor.
Here, the time T is three times to the time constant. The value at this point, the potential difference around the capacitor, equals the maximum potential.
The voltage across the capacitor at the end of three time constants is,
[tex]V=120\times e^{-3}\\V=5.97\rm \; V[/tex]
Thus, the value of the voltage across the capacitor at the end of three time constants is 5.97 V.
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Another element is silvery-white with a shiny luster, is very brittle, and forms ions with a −2 charge. give one possible identity of this element. enter the symbol for the element.
Answer:
It is Telurium
Explanation:
This element since belong to the family VI A in the periodic table, the charge -2 is the most common of these elements. Also, its color is silver - white, because is a metalloid has luster (a property of metals) and is very brittle ( a property of non-metals). Its symbol is Te.
Hideki is having trouble completing long workouts. What does he need to improve?
An atom of gadolinium has an atomic number of 64 and a mass number of 154. how many electrons, protons, and neutrons does it contain?
Ecologically speaking, which is bigger, a population or a community? Explain.
Here are a few of the fundamental words in ecology, which are simple, but may be easy to mix up because they are so similar. It is, however, quite important to be clear of what they mean. I will here try to explain how they differ by defining them and giving a few examples to illustrate how they could be applied.
A habitat is basically the site where an organism or a group lives. It may be anything from a stone in a lake, on which algae grows, to a forest containing all sorts of creatures. Note that groups within a habitat do not need to be of the same species. However, one usually speaks of habitats of individuals, species, or larger groups. For instance, the habitat of the algae would be the stone in the lake, and the forest could be the habitat of a single bear – regardless of what other organisms live there and how they are geographically distributed; here we are interested in the bear, so we define the habitat as its home range, and all that falls within it will arbitrarily be a apart of its habitat. hope this helps